20329116696000 has 896 divisors, whose sum is σ = 88179820185600. Its totient is φ = 4486416076800.

The previous prime is 20329116695981. The next prime is 20329116696001. The reversal of 20329116696000 is 69661192302.

20329116696000 is a `hidden beast` number, since 2 + 0 + 3 + 29 + 1 + 16 + 6 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20329116696001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43616187 + ... + 44079813.

Almost surely, 2^{20329116696000} is an apocalyptic number.

20329116696000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20329116696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44089910092800).

20329116696000 is an abundant number, since it is smaller than the sum of its proper divisors (67850703489600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20329116696000 is a wasteful number, since it uses less digits than its factorization.

20329116696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463699 (or 463673 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 20329116696000 in words is "twenty trillion, three hundred twenty-nine billion, one hundred sixteen million, six hundred ninety-six thousand".